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if the following data were transformed, and points with the coordinates (x, log) y)) were plotted, what points would be plotted? round log(y) to three decimal places.

x y

3 125

4 625

5 3125


A. (3, 2.097), (4, 2.796), (5, 3.495)

B. (2.097, 3), (2.796, 4), (3.495, 5)

C, (125, 2.097), (625, 2.796), (3125, 3.495)

D. (2.097, 125), (2.796, 625), (3.495, 3125)

Sagot :

Option A is accurate. The points were plotted with the coordinates (x, log) y), and they are (3, 2.097), (4, 2.796), and (5, 3.495).

What is the definition of a logarithm?

Exponents can also be written as logarithms. The other number is equal to a logarithm with a number base. It's the exact inverse of the exponent function.

Identity used;

[tex]\rm log_x (y) = z \\\\ z^x=y[/tex]

From the data we obtained;

[tex]\rm log_3(125) = 5 \\\\ 5^3 = 125[/tex]

[tex]\rm log_5 625 = 4 \\\\ 5^4 = 625[/tex]

[tex]\rm log_5 (3125) = 5 \\\\ 5^5 = 3125[/tex]

The points with the coordinates (x, log) y)) were plotted, the points are (3, 2.097), (4, 2.796), (5, 3.495)

Hence, option A is correct.

To learn more about the logarithm refer;

https://brainly.com/question/7302008

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